Article ID Journal Published Year Pages File Type
390641 Fuzzy Sets and Systems 2009 19 Pages PDF
Abstract

In this paper, we isolate an interesting transformation of binary aggregation functions from a result on the propagation of transitivity in additive preference structures. This transformation is based on a projection technique and results in a smaller (or equal) binary aggregation function. The transformation is idempotent and acts internally on the classes of conjunctors, semi-copulas and quasi-copulas. Hence, also copulas are transformed into quasi-copulas, but in general not into copulas. Remarkably, the Frank copulas are mapped to new copulas.

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